Finding the Fourth Proportional to 9,526.17, 13,152.54 and 5,946.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526.17 : 13,152.54 = 5,946.58 : x
2. Step 2: Convert to fraction form
   9,526.17/13,152.54 = 5,946.58/x
3. Step 3: Cross multiply
   9,526.17x = 13,152.54 × 5,946.58
4. Step 4: Simplify right side
   9,526.17x = 78,212,616.45
5. Step 5: Solve for x
   x = 78,212,616.45/9,526.17
6. Step 6: Final answer
   x = 8,210.29